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Weight — Grade 3 Mathematics

In Grade 3, we use grams (g) and kilograms (kg) confidently, convert between them with decimal notation, and apply weight concepts to multi-step problems including shopping, cooking, and comparing heavy objects.

Grams and Kilograms

1 kg = 1 000 g

kg → g: multiply by 1 000
g → kg: divide by 1 000

Examples:
2.4 kg = 2 400 g  |  850 g = 0.85 kg  |  3 kg 250 g = 3.25 kg
ObjectApprox. weight
Postage stamp~1 g
Apple~150 g
Bag of flour1.5 kg
Suitcase (allowed)20 kg
Small car~1 200 kg
💡 Mental check: Is your answer in a sensible range? A sandwich weighing 500 kg would be absurd — check unit and conversion.

Worked Examples

Example 1 — Converting Units

Convert: (a) 3.75 kg to g   (b) 2 300 g to kg

  • (a) 3.75 × 1 000 = 3 750 g
  • (b) 2 300 ÷ 1 000 = 2.3 kg
Example 2 — Multi-Step Problem

A baker uses 1.4 kg of flour, 750 g of sugar, and 300 g of butter. What is the total weight of ingredients in kg?

  • Convert all to g: 1 400 + 750 + 300 = 2 450 g
  • Convert back to kg: 2 450 ÷ 1 000 = 2.45 kg
Example 3 — Real World: Baggage Allowance ✈️

Aisha's suitcase weighs 18.4 kg. Her carry-on weighs 4 750 g. The total limit is 25 kg. Does she have room for a 1.2 kg gift?

  • Convert carry-on: 4 750 g = 4.75 kg
  • Current total: 18.4 + 4.75 = 23.15 kg
  • Remaining: 25 − 23.15 = 1.85 kg
  • 1.85 > 1.2 → Yes, the gift fits.

Practice Questions

1. Convert 5.6 kg to grams.

✅ 5.6 × 1 000 = 5 600 g

2. Convert 3 450 g to kg.

✅ 3 450 ÷ 1 000 = 3.45 kg

3. Which is heavier: 2.4 kg or 2 350 g?

✅ 2.4 kg = 2 400 g; 2 400 > 2 350, so 2.4 kg is heavier

4. A bag contains 6 equal parcels weighing 3.6 kg total. How much does each parcel weigh in g?

✅ 3.6 kg = 3 600 g; 3 600 ÷ 6 = 600 g

5. A recipe needs 250 g of nuts. How many grams remain from a 1.5 kg bag after making the recipe 4 times?

✅ Used: 250 × 4 = 1 000 g; Remaining: 1 500 − 1 000 = 500 g

Key Points to Remember

  • 1 kg = 1 000 g — this is the only conversion you need.
  • kg → g: × 1 000. g → kg: ÷ 1 000.
  • 3 kg 500 g = 3.5 kg = 3 500 g — three equivalent forms.
  • Always convert to the same unit before comparing or calculating.
  • Check answers with common sense: a pen weighs ~5 g, not 5 kg!
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